Some properties of three body resonances of dtμ related to muon-catalyzed fusion

1988 ◽  
Author(s):  
P. Froelich ◽  
K. Szalewicz ◽  
H. J. Monkhorst ◽  
W. Kolos ◽  
B. Jeziorski
Keyword(s):  
Muon Catalyzed Fusion ◽  
Three Body

Polarizabilities and other properties of the tdµ molecular ion

2001 ◽  
Vol 79 (9) ◽  
pp. 1149-1158
Author(s):  
A K Bhatia ◽  
R J Drachman
Keyword(s):  
Energy Levels ◽  
Molecular Ions ◽  
Muon Catalyzed Fusion ◽  
Oppenheimer Approximation ◽  
Good Energy ◽  
Cusp Conditions ◽  
Fermi Contact ◽  
Muonic System ◽  
Three Body ◽  
Contact Parameters

Wave functions of the Hylleraas type were used earlier to calculate energy levels of muonic systems. Recently, we found in the case of the molecular ions H2+, D2+, and HD+ that it was necessary to include high powers of the internuclear distance in the Hylleraas functions to localize the nuclear motion when treating the ions as three-body systems without invoking the Born–Oppenheimer approximation. We tried the same approach in a muonic system, tdµ– (triton, deuteron, and muon). Improved convergence was obtained for J = 0 and 1 states for shorter expansions when we used this type of generalized Hylleraas function, but as the expansion length increased the high powers were no longer useful. We obtained good energy values for the two lowest J = 0 and 1 states and compared them with the best earlier calculations. Expectation values were obtained for various operators, the Fermi contact parameters, and the permanent quadrupole moment. The cusp conditions were also calculated. The polarizability of the ground state was then calculated using second-order perturbation theory with intermediate J = 1 pseudostates. (It should be possible to measure the polarizability by observing Rydberg states of atoms with tdµ– acting as the nucleus.) In addition, the initial sticking probability (an essential quantity in the analysis of muon catalyzed fusion) was calculated and compared with earlier results. PACS Nos.: 30.00, 36.10-k, 02.70-c

STUDY OF CHARGE-ASYMMETRIC 3Heμd MOLECULE IN HYPER-SPHERICAL ELLIPTIC COORDINATE SYSTEM

2010 ◽  
Vol 25 (05) ◽  
pp. 389-398
Author(s):  
M. R. PAHLAVANI ◽  
M. SADEGHI ◽  
S. M. MOTEVALLI ◽  
Y. AQABAEI
Keyword(s):  
Binding Energy ◽  
Coordinate System ◽  
Separation Of Variables ◽  
Muon Catalyzed Fusion ◽  
Adiabatic Expansion ◽  
Body System ◽  
Theoretical Methods ◽  
Expected Values ◽  
Three Body ◽  
Elliptic Coordinate

Study of Coulombian three-body system is a basic phenomenon in muon catalyzed fusion (μCF). In this investigation, separation of variables in the base of adiabatic expansion, have been applied to the mesic three-body molecule, 3 He μd using hyper-spherical elliptic coordinate system. The corresponding eigenvalue problem has been solved and the adiabatic potential and the binding energy of this system are calculated. The obtained results agreed with the expected values of various theoretical methods.

Relativistic and QED contributions to the coulomb three-body system in muon-catalyzed fusion

1989 ◽  
Vol 334 (4) ◽  
pp. 423-428 ◽  
Author(s):  
K. Swe Myint ◽  
Y. Akaishi ◽  
H. Tanaka ◽  
M. Kamimura ◽  
H. Narumi
Keyword(s):  
Muon Catalyzed Fusion ◽  
Body System ◽  
Three Body

Muonic three-body problem and muon- catalyzed fusion

1987 ◽  
Vol 328 (1) ◽  
pp. 115-117 ◽  
Author(s):  
Y. Akaishi ◽  
M. Kamimura ◽  
H. Narumi
Keyword(s):  
Body Problem ◽  
Muon Catalyzed Fusion ◽  
Three Body Problem ◽  
Three Body
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